When performing calculations it is much easier to work with the Fourier transforms of the propagators.

When we are ‘ inculcating ’ or in situations where the biases of our human nature are likely to prevent us doing the calculations properly, then we should use the more general rule utilitarianism.

When his calculations showed that the manholes on telephone routes were sufficiently close together to be able to insert the loading coils without the expense of either having to dig up the route or lay in new cables he changed to this new plan.

When the actual transmitted ( incident ) power and the reflected power are known ( i. e., through measurements and / or calculations ), then the return loss in dB can be calculated as the difference between the incident power P < sub > i </ sub > ( in dBm ) and the reflected power P < sub > r </ sub > ( in dBm ),

When Max detects an error in his real-time calculations leading up to a " transition ", neither the captain nor Assistant Astrogator Simes believe him, and the ship winds up lost.

When originally developed, for the Intel i860, the use of integer math made sense ( both 2D and 3D calculations required it ), but as graphics cards that did much of this became common, integer SIMD in the CPU became somewhat redundant for graphical applications.

When the errors are uncorrelated, it is convenient to simplify the calculations to factor the weight matrix as.

When performing calculations regarding the reacting of one or more aqueous solutions, one generally must know the concentration, or molarity, of the aqueous solutions.

When the first calculations of the comet's orbit were made, scientists realized that it was going to pass just 0. 1 AU from the Earth on 25 March.

When benefit changes occur, old and new benefit plans have to be blended, satisfying new social demands and various government discrimination test calculations, and providing employees and retirees with understandable choices and transition paths.

When he made calculations on the Wakor solar eclipse that was to occur, he used the Thai system of measuring time ( mong and baht ), but he implemented the Western method of longitude and latitude when he determined where on earth the eclipse would best be viewed.

When the sample is not a simple random sample from a large population, the standard error and the confidence interval must be estimated through more advanced calculations.

When developing quantum electrodynamics in the 1930s, Max Born, Werner Heisenberg, Pascual Jordan, and Paul Dirac discovered that in perturbative calculations many integrals were divergent.

When doing longitudinal ( time series ) calculations, it is common to set a value for the base year to make interpretation of the results easier.

When these are applied, Richardson's forecast turns out to be essentially accurate — a remarkable achievement considering the calculations were done by hand, and while Richardson was serving with the Quaker ambulance unit in northern France.

When a sequence of calculations subject to rounding error are made, errors may accumulate in certain cases known as ill-conditioned, sometimes to such an extent as to dominate the calculation and make the result meaningless.

When using the correct angular momentum conservation in calculations the predicted effect is twice as large as when the erroneous conservation of linear momentum is used.

When using models to calculate the ongoing exposure, FAS 157 requires that the entity consider the default risk (" nonperformance risk ") of the counterparty and make a necessary adjustment to its calculations.

When any of these calculations exceeds 9 then a carry is required.

When he invents the Holly Hop Drive, he claims that one mistake in his 13 billion calculations and they would be blown up.

When paired with C3, J1a can be viewed as the closure condition for calculations: B is a tautology if and only if A and ( A ) both appear in depth 0 of B.

When S / P light calculations are used, HPS lamp performance needs to be reduced by a minimum value of 75 %.

When real world city terrain topography is included in these weapon effects calculations the lethal ranges are downgraded considerably.

When a limited-overs match is affected by rain or bad light, and the Duckworth Lewis method is used to adjust the target for a team batting second, because of the complexity of the situation, the fielding side's captain may decide to give a piece of paper with the Duckworth Lewis calculations to the vice captain or another player, so that he is not overburdened with duties.

When Reed becomes 21, he plans to teleport an apple into a parallel universe ( the " N-Zone "), but Van Damme claims Reed's calculations are wrong and changes the setup at the last minute.

When they were closer and he saw that one was a woman, he was more puzzled than ever.

When they were finally satisfied, Jones said, `` I think he's going to give us work ''.

When they were ready to leave, Benson and Ramey walked back around the rear of the trailer.

When they reached the school, a gang of boys and girls were already there playing `` crack the whip '' in front of the schoolhouse.

When these had been pocketed, we could still spend a morning cracking open other pebbles for our delight in seeing how much prettier they were inside than their dull exteriors indicated.

When he discovered they had received from the Company's Court of Directors no permission to live in India, coupled with the fact that they were Americans who had been sent to Asia to convert `` the heathen '', he became more belligerent than ever.

When Prudence and Blackberry were too young to be trusted in the dining room, they were tied to the radiator with their leashes, and they would cry.

When they were first written, there was evidently no thought of their being published, and those which refer to the writer's love for Mrs. Meynell particularly have the ring of truth.

When their levies came shambling into camp, they were all elbows, hair, and beard.

When, in March, 1640, the two towns were united under Coddington, Gorton claimed the union was irregular and illegally constituted and that it had never been sanctioned by the majority of freeholders.

When the negotiations began, his quarrel with the king of France was temporarily in abeyance, and he had no intention of reviving it so long as there was hope that French money would come to pay the troops who, under Charles of Valois, the papal vicar of Tuscany, were so valuable in the crusade against the Colonna cardinals and their Sicilian allies.

When these chores were finished, only then, was she allowed whatever freedom she could find.

When Sir Edward Greville enclosed the town commons on the Bancroft, Quiney and others leveled his hedges on January 21, 1600/1, and were charged with riot by Sir Edward.

When it was over, eight of his company were still alive and all eight were wounded.

When the stock exchange opened this morning, many dealers were quick to purchase shares in Douglas, Lockheed and United Aircraft and prices rose substantially.

When the end did come, and the schools were disbanded and abandoned, we felt and hoped that the machinery of psychological warfare would not be allowed to rust.

When we got there, Trig and the Negro were quarreling over possession of a gold crucifix around the neck of a wounded Filipino.

When it was proposed to rebuild the church, Wilson found that the terms for a new mortgage were very high.

When something unexpected happened, one always asked for water if one were a woman, brandy if one were a man.

When Papa's slender fingers removed the spectacles, there were red indentations on the bridge of the strong nose.

When the telephone rang on the day after Hino went down to the village, Rector had a hunch it would be Hino with some morsel of information too important to wait until his return, for there were few telephones in the village and the phone in Rector's office rarely rang unless it was important.

When values of temperature derived with this instrument were compared with the accepted values associated with liquid helium-4 vapor pressures, differences of about 10 and 7 millidegrees respectively were found.